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Finding the Fourth Proportional to 19,797.94, 29,706.63 and 8,114.50

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Solution

The fourth proportional to 19,797.94, 29,706.63 and 8,114.50 is: 12,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.94 : 29,706.63 = 8,114.50 : x
  2. Step 2: Convert to fraction form
    19,797.94/29,706.63 = 8,114.50/x
  3. Step 3: Cross multiply
    19,797.94x = 29,706.63 × 8,114.50
  4. Step 4: Simplify right side
    19,797.94x = 241,054,449.14
  5. Step 5: Solve for x
    x = 241,054,449.14/19,797.94
  6. Step 6: Final answer
    x = 12,175.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.